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Finding the Fourth Proportional to 158,034.50, 218,087.60 and 86,414.57

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Solution

The fourth proportional to 158,034.50, 218,087.60 and 86,414.57 is: 119,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,034.50 : 218,087.60 = 86,414.57 : x
  2. Step 2: Convert to fraction form
    158,034.50/218,087.60 = 86,414.57/x
  3. Step 3: Cross multiply
    158,034.50x = 218,087.60 × 86,414.57
  4. Step 4: Simplify right side
    158,034.50x = 18,845,944,653.82
  5. Step 5: Solve for x
    x = 18,845,944,653.82/158,034.50
  6. Step 6: Final answer
    x = 119,252.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.